Singular value inequalities for matrix sums and minors |
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Authors: | R.C. Thompson |
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Affiliation: | Institute of Algebra and Combinatorics University of California Santa Barbara, California 93106, USA |
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Abstract: | This paper gives new proofs for certain inequalities previously established by the author involving sums of singular values of matrices A, B, C = A + B, and also sums of singular values of A, B, and C when A, B are complementary submatrices of C. Some new facts concerning these inequalities are also included. |
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